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Finding the Fourth Proportional to 14,341.50, 19,742.13 and 12,441.92

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Solution

The fourth proportional to 14,341.50, 19,742.13 and 12,441.92 is: 17,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,341.50 : 19,742.13 = 12,441.92 : x
  2. Step 2: Convert to fraction form
    14,341.50/19,742.13 = 12,441.92/x
  3. Step 3: Cross multiply
    14,341.50x = 19,742.13 × 12,441.92
  4. Step 4: Simplify right side
    14,341.50x = 245,629,903.38
  5. Step 5: Solve for x
    x = 245,629,903.38/14,341.50
  6. Step 6: Final answer
    x = 17,127.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.